Hugging Face's logo

Datasets:
SoyVitou
/
im2latex-train-83k

Modalities:
Image
Text
Formats:
parquet
Size:
10K - 100K
ArXiv:
Libraries:
Datasets
pandas
Polars
License:
Dataset card Data Studio Files
xet
Community
Dataset Viewer
Auto-converted to Parquet Duplicate
id
stringlengths
10
10
image
imagewidth (px)
24
1.67k
text
stringlengths
38
997
60ee748793
ds^{2} = (1 - {qcos\theta\over r})^{2\over 1 + \alpha^{2}}\lbrace dr^2+r^2d\theta^2+r^2sin^2\theta d\varphi^2\rbrace -{dt^2\over (1 - {qcos\theta\over r})^{2\over 1 + \alpha^{2}}}\, .\label{eq:sps1}
66667cee5b
\widetilde\gamma_{\rm hopf}\simeq\sum_{n>0}\widetilde{G}_n{(-a)^n\over2^{2n-1}}\label{H4}
1cbb05a562
({\cal L}_a g)_{ij} = 0, \ \ \ \ ({\cal L}_a H)_{ijk} = 0 ,
ed164cc822
S_{stat} = 2\pi \sqrt{N_5^{(1)} N_5^{(2)} N_5^{(3)}} \left(\sqrt{n} +\sqrt{\bar{n}}\right)\label{74}
e265f9dc6b
\hat N_3 = \sum\sp f_{j=1}a_j\sp {\dagger} a_j \,. \label{c5}
227301e73d
+ \int\!\!d^D\!z_1 d^D\!z_2 d^D\!z_3 \left. \frac{\delta^2 W}{\delta j(x) \delta j(z_1)} \, \frac{\delta^2 W}{\delta j(x) \delta j(z_2)} \, \frac{\delta^2 W}{\delta j(x) \delta j(z_3)} \, \frac{\delta^3 \Gamma} {\delta \Phi(z_1) \delta \Phi(z_2) \delta \Phi(z_3)} \right] ,
242a58bc3a
\,^{*}d\,^{*}H=\kappa \,^{*}d\phi = J_B . \label{bfm19}
a4d25113b2
{\phi''\over A} +{1\over A}\left( -{1\over 2}{A'\over A}+2{B'\over B}+{2\over r}\right)\phi'-{2 \over r^2}\phi -\lambda\phi (\phi^2-\eta^2) =0\,.\label{eq=phi}
72f6bc494a
\label{maxw}\partial_{\mu} (F^{\mu\nu}-ej^{\mu}x^{\nu})=0 .
3cf9d0b234
V_{ns}({\tilde x})= \left(\frac{{\tilde m}N^2}{16\pi}\right)N g^{2ns-1}{\tilde x}^2 \left\{{\tilde x}^2 -\frac{2{\tilde b}}{3}{\tilde x}+\frac{{\tilde b}^2}{3} -(-1)^{ns}{\tilde c}\right\} \,.
5be376c443
g_{ij}(x)={1\over a^2}\,\delta_{ij},~~\phi^a(x)=\phi^a,\quad (a,\phi^a\!:~{\rm const.}) \label{finite-perturbation}
4dd5a0e4ad
\rho_L (q) = \sum_{m=1}^L \ P_L (m) \ {1 \over q^{m-1}} \ \ .\label{relat}
6e7448ca84
\label{Elliott}exp\left( -\frac{\partial}{\partial \alpha_{j}}\theta^{jk}\frac{\partial}{\partial \alpha_{k}} \right)
5adf6fe332
L_{0} = \Phi(w) = \bigtriangleup\Phi(w) ,
4e9e19a3cf
\left( D^{*}D^{*}+m^2\right) {\cal H}=0 \label{3.3}
3a950d09c0
{dV\over d\Phi}= -{w\Phi\over \Phi_{\!_0}^2}\, .\label{w}
5d1a1ed037
\label{g=u,x}g(z,\bar z)=-\frac{1}{2}\left[x(z,\bar z)\,s+x^*(z,\bar z)\,s^*+u^*(z,\bar z)\,t+u(z,\bar z)\,t^*\right],
698111df57
x^{c}_{\mu}=x_{\mu}+A_{\mu}.\label{transf}
73fdf824d0
s = {S \over V} = {A_H \over l_p^8 V } = {T^2 \over \gamma}. \label{entropy}
35a6b52146
\psi(\gamma) = \exp{ -({\textstyle{g^2 \over2}}) \int_{\gamma} dy^a\int_{\gamma} dy^{a'} D_{1}(y-y') }
6fefdec123
E=E_0+\frac{1}{2\sinh(\gamma(0)/2)}\sinh\left(\gamma(0)\left(\frac{1}{2}+c(0)\right)\right)hc\nu_{\rm vib}
2a7a69318b
\langle T_{zz}\rangle =-3\times \frac{\pi^2}{1440 a^4}.
2ce5749395
\partial_{u} \xi_{z}^{(1)} +{1\over u} \xi_{z}^{(1)} = {1\over (\pi T R)^2 u}\left[ C_z H_{zz}' + C_t H_{tz}' \right]\,.\label{gauge_eq_z_3_p}
9016b4fca0
\label{eq:action} S\sim\tilde{\psi} Q_o \tilde{\psi} +g_s^{1/2} \tilde{\psi}^3+\tilde{\phi} Q_c \tilde{\phi} + g_s \tilde{\phi}^3+ \tilde{\phi}B(g_s^{1/2}\tilde{\psi})+\cdots.
2cb87ed9c8
C(x^{\prime}, x^{\prime\prime}) = C \Phi(x^{\prime},x^{\prime\prime})\ ,\quad \Phi(x^{\prime}, x^{\prime\prime})=\exp\left[-ie\int_{x^{\prime\prime}}^{x^{\prime}} dx^{\mu}A_{\mu}(x)\right]\ , \label{eq27}
4765b43e98
\label{atilde}\tilde{\alpha}=\alpha \beta^{-m}=\left( \begin{array}{ccc} \omega_{k}^{-2y}\omega_{2d}^{2m} & 0 & 0 \\0 & \omega_{k}^{y}\omega_{2d}^{-m} & 0 \\0 & 0 & \omega_{k}^{y} \omega_{2d}^{-m} \end{array} \right)
33978e1330
\label{req5}ds^2 = H^{-2} f(r) dt^2 + H^{2/(n-1)}(f(r)^{-1}dr^2 +r^2 d\Omega_n^2),
3945cf2343
%y^2 = \rho \; \cosh \beta \; \sin \theta \; \sin \phi\qquad\qquad y^3 = \rho \; \cos \theta\label{eqn:1.7}%
4c6c104eb5
\label{chi0'}e^A = e^{A_0} \left( t_0 - {\rm sign} (m) t \right)^{- \frac{m}{2}} \; , \; \; \; \; \chi = \chi_0 \left( t_0 - {\rm sign} (m) t \right)^m \; ,
5d58861c3f
\gamma_j{\cal P}_{ji}= \frac{4}{3}\{[Ad\,T][t^c_{8},[t^c_{8},{\gamma}_j]][Ad\,T^{-1}]\}{Ad\,{\hat{g}}}_{ij}.
2ae8eccc13
K_{\mu\nu}~=~\frac{1}{2}\dot{g}_{\mu\nu}.
56f7827473
X(u)= { {\left( \pm i + e^{3 \eta} \right) \left( -1 + {e^u} \right) \left( 1 + {e^u} \right) x_1 } \over {2 {e^u} \left( \pm i + {e^{3 \eta + u}} \right) } },\label{XII2}
6176f74d0f
\label{E231} \beta(g)\frac{\partial}{\partial g}=2g\beta(g)\frac{\partial}{\partial g^2}
662ccce98f
A=ar^\beta ,\quad B=br^{\beta +2};\qquad a/b=c(\beta +2)/(\beta -2),
2440895f67
\delta W_{P\mu} = A_{\mu}\Phi + B_{P\mu}^{\alpha}K^{\alpha}_P \ .
45b9b7323d
\frac{1}{d-2}\tilde{\Pi}^{2}-\tilde{\Pi}_{ab}\tilde{\Pi}^{ab}=\frac{\left(d-1\right) \left( d-2\right) }{\ell ^{2}}+R \label{Gc}
672a31c2cc
\hat{e}=e/\varepsilon,\ \ \ \ \ \ \ \ \ \hat{G}_4=G_4,\label{parel}
10c37c445e
\label{vertex_operators}V_{(n,\, m)}(z,\overline{z})=:\exp i(p_{+}\phi (z)+p_{-}\bar{\phi }(\overline{z})):\: .
427968501c
\langle f|g\rangle_{{\cal L}^{1|2}}=\langle f_0|g_0\rangle_{\cal L}^s+\langle f_1|g_1\rangle_{\cal L}^{s+1/2}+\langle f_2|g_2\rangle_{\cal L}^{s+1/2}+\langle f_3|g_3\rangle_{\cal L}^{s+1}\,,\label{4.2b}
65d334ea47
\label{ESE13}\tilde{s}^{0}(x,y) = i e^2\int\!d^4\!z\,S_{\rm F}(x,z)\,\gamma^\mu\,S_{\rm F}(z,y)\,[d_\mu(x-z) + d_\mu(z-y)]
7ab1fc083e
\left\{\begin{array}{lcll}\phi ~ (\infty) &=& 0 & , \vspace{3mm}\\ \phi ~ (0) &=&1 & .\end{array} \right.\label{214}
5dab1ec4de
{\cal P}_{\delta x} \equiv {k^3\over2\pi^2} |\delta x|^2 \, ,
7d0867620d
\psi (x)=-2\phi (x)+2\phi (L) +c,\label{condition}
67fcffa9a3
{}^{({}^{\scriptstyle x}y)}({}^x z)={}^x({}^yz),\qquad \forall x,y,z\in X.
4b069edf09
\delta (L_1 + L_2) = 2\delta \bar\theta (1 + \gamma^{(p)}) T^\nu_{(p)} \partial_\nu\theta.
2b8e14887f
\frac{1}{2\lambda f^2}\int\;d^4X\,\frac{d^4q}{\left(2\pi\right)^4} \left(\varphi(X)\right)^2\tilde\pi_0(q)\left[\partial_q^2+ \frac{4i\lambda}{q^2-\Sigma^2(q)}\right]\tilde\pi_0(q),
5d034b6bfa
(K^{-1})^U_S = -\frac{z^{*3}(1-A|z|^2)P'(y)} {e^{\tilde{K}/2}P''(y)},\mbox{ } (K^{-1})^U_T = \frac{(T+T^*)z^{*3}(1-A|z|^2)} {e^{\tilde{K}/2} (1-\frac{\bar{n}}{3}B(1-A|z|^2)\|\Pi\|)},
1ba2cffb3c
G^{\mu\nu\mu'\nu'} = g^{\mu\mu'}g^{\nu\nu'} + g^{\mu\nu'}g^{\nu\mu'}-{2\over D}g^{\mu\nu}g^{\mu'\nu'}+C g^{\mu\nu}g^{\mu'\nu'} \: .
7dfe32d42b
\label{llm22.9} [M_{\mu\nu} , M_{\rho \tau} ] = g_{\mu\tau} \, M_{\nu\rho} - g_{\nu\tau} M_{\mu\rho} + g_{\nu\rho} M_{\mu\tau} - g_{\mu\rho} M_{\nu\tau} \, ,
11421b7af6
\label{A0}A_0 = \pm\sqrt{{4\over 3(1-\alpha)}}e^{(\alpha-1)\phi}\ .
22a003507e
C_m(\mu)={1\over 2\pi i}\int_{\Gamma_r}{C_m(z)\over z-\mu}dz,\label{B1500}
17226e3e67
\xi=\alpha^{-1}\sqrt{\rho}\cosh(2\alpha^2 t)\,,\quad\eta=\alpha^{-1}\sqrt{\rho}\sinh(2\alpha^2 t)
43f707d9b6
a_{1}=\frac{2\tilde q}{\alpha^{2}(D-2)+2q\tilde q},~~~~a_{2}=\frac{\alpha^{2}(D-2)}{\alpha^{2}d(D-2)+2\tilde d q^{2}} \label{13}
2df6c7abd6
\theta\epsilon^i=\zeta^i\,;\qquad\theta\zeta^i=\epsilon^i\,;\qquad\theta\eta^i=-\eta^i\,.
7d791b3d50
\label{new_3}{\cal A}_{fi}(s)=-i\frac{Q_{\mu\nu}V_f^\mu(\bar s)V_i^\nu(\bar s)}{(s-\bar s)[1-A^\prime(\bar s)]}+N,
5ea7b85bb6
S=\frac{1}{G}\int dxdt\:\sqrt{-\bar{g}} \:e^{-2\bar{\phi}}(\bar{R}+4(\bar{\nabla} \bar{\phi})^2+4\lambda^2)-\frac{1}{2}\int dxdt\:\sqrt{-\bar{g}}\: \sum_{i=1}^N(\bar{\nabla}f_i)^2,\label{cghs}
1a87610486
\phi'^A=\frac{\partial F(\phi , \phi'^*)}{\partial \phi'^*_A}\hspace{2cm}\phi^*_A=\frac{\partial F(\phi , \phi'^*)}{\partial \phi ^A}.\label{Fcan}
50919ea0ce
\label{gg3}Q^M=\dot g_0\int_{\phi (\Sigma )}\sum_{i=1}^l\beta _i\eta_i\int_{N_i}\frac 1{\sqrt{g}}\delta ^D(x-z_i(u))\sqrt{g_u}%d^{(D-d)}ud^{(d)}\phi .
7891985624
\psi(x) = [2 \pi \sigma^2]^{-1/4}\exp\left[-\left(\frac{x-x_0}{2 \sigma}\right)^2+ip_0x\right],
ae65a915db
A_\mu=\bar{A}_\mu (\phi)+a_\mu\ ,\label{37}
4375e58a64
\left[ D_f, D \right] = 0\, . \label{13}
2c7002c337
\exp_qA=\sum_{n=0}^\infty \frac{A^n}{[n]!} \label{9}
12521128dc
\label{2.15}\langle b_1(z,\bar{z}) a_1(z',\bar{z}') \rangle=-{1 \over \pi} \partial ~K_0(d^2 m^2({\bf p}))~,
25ad6cf3b0
\label{e8}\lambda_{+}=\frac{1+i\omega}{2},\quad\lambda_{-}=\frac{1-i\omega}{2}
489da689b3
1+\frac{2\pi \Lambda G}{9\alpha }>0 \label{ExtendedBound}
224e79c77d
\label {kp1}e^{-K}=\pm \frac{W^{3/2}}{\omega_1 \omega_2 \omega_3}\ ,
4f86c93855
%{\cal{Z}}(\tau{})=\sum_{m}\int{\cal{D}}\Omega{\cal{D}}V{\hbox{Vol}}_{ZM}{\hbox{det}}(d_2)%\frac{1}{{\hbox{Vol}}G}e^{-{\cal{I}}(\Omega,V;\tau)}%
5afd606d6c
\label{oemu} |0(t)\rangle_{e,\mu}\equiv G^{-1}_{\theta}(t)|0\rangle_{1,2}\,,
64f51e3fbc
\Gamma_{i j}^{k} = ( \partial_{i} G_{j {\bar l}} )G^{{\bar l} k} \\
1fa9bb5655
{\cal{F}}:\ < g > = \int d^{3}\theta \ g({\vec{\theta}}) f({\vec{\theta}},t) \,
50c17d7ef4
\tilde S_{r,\Lambda}(t_2,t_1;g)=-2i\delta(t_2-t_1)H_I^{(r)}(t_1)+\tilde S'_{r,\Lambda}(t_2,t_1;g),
778496aed1
\label{a12}\nu_R(E)=\int_{\mu}^{E-\mu_Q}\nu(E')\nu_Q(E-E') dE'~~~.
5aa85bc04d
\label{5.17}Z_{\rm F}[A ] = \int \! D {\bar \psi}D \psi e^{-\int \! d^2 x\,[ \psi_{1}^{\dagger} i \partial \psi_{1} +\psi_{2}^{\dagger} i {\bar \partial} \psi_{2} -\psi_{1}^{\dagger} A\psi_{1} - \psi_{2}^{\dagger} {\bar A} \psi_{2} ] } \; ,
6c2c59f99d
%Eq(5.2)T_{R}\;\sim\;5\left(\frac{m}{\mbox{TeV}}\right)^{3/2}\;\;\;\mbox{keV}.
39baa93854
\label{proj}P_n^p = \frac{(-1)^{p+n}}{n!(p-n)!}\mathop{{\prod}'}_{k=0}^p(N-k),\quad n=0,...,p,
4849c785c7
T_{{\cal G}}(-t,-t^{-1})=\sum x^{i(B)}x^{-e(B)} \label{22}
46b3873fbc
\left. \begin{array}{ccc}S_{\sigma \sigma '}\nonumber \\ S_\Delta \nonumber \\ \tilde {S}_\Delta\end{array} \right \} \varpi= (\varpi +2) \left \{ \begin{array}{ccc}S_{\sigma \sigma '}\nonumber \\ S_\Delta \nonumber \\ \tilde {S}_\Delta\end{array} \right. .\label{3.16}
712073fc17
\Phi_0(Z)=\delta^{-1}\alpha,\qquad\Phi_0(Z)=\alpha^{-1} \delta
6ffa4086e2
b(k) b^{\dagger}(l)- q_{e}b^{\dagger}(l) b(k)=\delta(k-l), \label{qe}
72e69b3f75
{\cal L}=-\mbox{\small$\frac{1}{2}$}f^2\,\partial_\mu\pi_r\,\partial^\mu\pi_r- \mbox{\small$\frac{1}{2}$}f^2\lambda\left(\pi_r\pi_r-N\right)\;,
2d0a8b7347
E_{{\rm quasilocal}}=E_{+}-E_{-}=\left( r\left[ 1-\left| r,_y\right| \right]\right) _{y=y_{+}}-\left( r\left[ 1-\left| r,_y\right| \right] \right)_{y=y_{-}}.
616706dd5a
I=2\left({\alpha\over \sinh^2 A+\sin^2{\gamma\over 2}}-{\sinh {2A\over \alpha}\over \sinh {2A}}~{1\over ( \sinh^2 {A\over \alpha}+\sin^2{[\gamma ]\over 2\alpha})} \right)~~.\label{A5}
1dd5d34448
W(x) = \frac{x^3}{3} - a^2 x, \label{eq:supercube}
3cdc9f09c6
Z_M=\sum_{j_s}\int dU_f\Pi _s\left( 2j_s+1\right) Tr_{j_s}U_s
c49990f9c9
f(x,p;t)= \int\! da db ~\tilde{f}(a,b) ~ e^{iax(-t)} e^{ibp(-t)},
5f83ae277c
\{ \langle n|O|p\rangle\: | n\in \Sigma_{s}^{\prime}\}
22692da57d
\label{Maxwell}{\cal L}^{(0)}(B)=-{1\over 2}B^2\; ,
e2da14260e
\label{newton}\ddot{h} = - \nabla_h \Phi
396ff4def5
\langle 0| T_{\mu\nu} |0 \rangle_{\mbox{\tiny Ren.}} = \mbox{diag} \left[\langle 0|T_{tt}|0\rangle , 0, \langle0|T_{ll}|0\rangle,\langle0|T_{ll}|0\rangle\right].\label{eq:4D_StressTensor}
6bc6b638ef
\frac{1}{24.8\pi^2}\,\int_{\cal M} R\wedge R = \frac{1}{24.8\pi^2}\,\int_{{\cal M}} {\rm d}C = \frac{1}{24.8\pi^2}\,\int_{\partial {\cal M}} C\, ,
7fb58b3ce2
\label{con3}\quad |A_1|^2 + |A_2|^2 - |B_1|^2 -|B_2|^2 = 0.
1c5f0abd11
e^{\phi^6_c}=-{v_a\over\tilde v_a}\label{critdil}
4552f04e75
\mbox{\boldmath $ \pi$} =\mu^{-1} \, {\bf p}\; .\label{eq:dimensionlessp}
4031e921fa
S = \int_{\mathcal M} \left( {i \over 2} \left[ \overline \psi \gamma^a\nabla_a \psi - \overline{(\nabla_a \psi)} \gamma^a \psi \right] - m \overline\psi \psi \right) \, , \label{spinac}
78a41122f4
\Psi \sim \exp \left\{ - \frac{1}{\hbar}\int_{a}^{x} \sqrt{2(v - e )} \right\} \sim \exp \left\{- \frac{1}{\hbar} x^{\frac{5}{2}} \right\}
5a8ba83188
\label{p.50}\ddot{R}^{k}(t)=\omega^{kl}\dot{R}^{l}(t)+O(\dot{R}^{k}\dot{R}^{k}) \;\;.
795aa0d8b2
{\cal L} \rightarrow {\cal L} + \frac {\alpha N}{16 \pi^2} F\tilde{F}.
5fc2dd90f4
\partial_0 {\cal E} + {\bf div} {\bf S} = 0 \, .\label{kern-eq.2.12}
61ff1fa86d
\phi(x,y)=\lambda^{2s} \, \phi(\lambda x,\lambda y)
58dfa3dbcf
S_B[A]\;=\; i \,\frac{1}{\eta} \,S_{CS}[A]\;+\;R[\widetilde{F}] + \frac{i}{\theta}\int d^3x d^3y j_\mu^T(x) {\mathcal K}_{\mu\nu}(x-y) j_\nu^T(y)\;,\label{stat-bos}
End of preview. Expand in Data Studio

im2latex-train-83k (Hugging Face Version)

Overview

This dataset is the train split (~83K samples) of the im2latex-100k dataset, converted to Hugging Face format for easy access and integration.

It is designed for:

  • Image-to-LaTeX modeling
  • Mathematical OCR
  • Vision-to-sequence learning
  • Formula recognition research

Dataset Structure

Each sample contains:

Column Type Description
id string Unique image identifier
image Image Rendered mathematical formula (PNG, white background)
text string Ground-truth LaTeX formula

Images are processed with:

  • Cropped formula region
  • White background (RGB: 255, 255, 255)
  • Margin padding for clean visualization

Fully compatible with the Hugging Face Dataset Viewer.

Source & Credit

Original Dataset: im2latex-100k
Paper: https://arxiv.org/abs/1609.04938

Original Author:
Anssi Kanervisto

Derived from arXiv LaTeX sources and Cornell KDD Cup dataset resources.

This repository provides a Hugging Face–formatted version for easier usage.
All credit belongs to the original dataset creators.

Usage 

from datasets import load_dataset

dataset = load_dataset("SoyVitou/im2latex-train-83k")

sample = dataset["train"][0]
print(sample["text"])
sample["image"]

Notes

  • Data content is unchanged from the original dataset.
  • Only format conversion and image preprocessing were performed.
  • Intended for research and educational use.
Downloads last month
17
Size of downloaded dataset files:
382 MB
Size of the auto-converted Parquet files:
382 MB
Number of rows:
83,884

Paper for SoyVitou/im2latex-train-83k